Traffic Network Optimum Principle - Minimum Probability of Congestion Occurrence

Details Traffic Network Optimum Principle - Minimum Probability of Congestion Occurrence Traffic Network Optimum Principle - Minimum Probability of Congestion Occurrence

2010-10-27

arxiv.org/abs/1010.5747v6

J. Phys. A: Math. Theor. 44 (2011) 092001

Physics

Physics and Society

22 pages, 6 figures

Scientific paper

10.1088/1751-8113/44/9/092001

We introduce an optimum principle for a vehicular traffic network with road bottlenecks. This network breakdown minimization (BM) principle states that the network optimum is reached, when link flow rates are assigned in the network in such a way that the probability for spontaneous occurrence of traffic breakdown at one of the network bottlenecks during a given observation time reaches the minimum possible value. Based on numerical simulations with a stochastic three-phase traffic flow model, we show that in comparison to the well-known Wardrop's principles the application of the BM principle permits considerably greater network inflow rates at which no traffic breakdown occurs and, therefore, free flow remains in the whole network.

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